Question: For the transfer function [ frac{Theta_{o}(s)}{Theta_{i}(s)}=frac{K_{p}}{J s^{2}+K_{p}} ] solve for (theta_{o}(t)) in terms of (J, K_{p}), and (theta_{i}(t)). How do variations in the values of
For the transfer function
\[ \frac{\Theta_{o}(s)}{\Theta_{i}(s)}=\frac{K_{p}}{J s^{2}+K_{p}} \]
solve for \(\theta_{o}(t)\) in terms of \(J, K_{p}\), and \(\theta_{i}(t)\). How do variations in the values of parameters \(J\) and \(K_{p}\) affect the behavior of \(\theta_{o}(t)\) ? Discuss and show if a bounded \(\theta_{i}(t)\) can be selected to destabilize response \(\theta_{o}(t)\).
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